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Math Help - Negative Exponents

  1. #1
    Member
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    Question Negative Exponents

    Consider the following:

    7/x^-^5^/^6

    To express the above with a positive index i.e. to make the the exponent -5/6 positive, we need to do the reciprocal which will be

    1/7/x^-^5^/^6

    which comes to

    x^5^/^6/7

    But the correct answer is

    7x^5^/^6

    Why?

    Thanks,

    Ron
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  2. #2
    MHF Contributor
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    7 / x^(-5/6)
    = [7 / x^(-5/6)] * [x^(5/6) / x^(5/6)] : multiplication by 1
    = [7 x^(5/6)] / [x^(-5/6) x^(5/6)]
    = [7 x^(5/6)] / x^0
    = 7 x^(5/6)
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